湖南工业大学学报
湖南工業大學學報
호남공업대학학보
JOURNAL OF HUNAN UNIVERSITY OF TECHNOLOGY
2014年
6期
1-6
,共6页
群决策%正态分布%NDNPWA算子
群決策%正態分佈%NDNPWA算子
군결책%정태분포%NDNPWA산자
group decision making%normal distribution%NDNPWA operator
对准则值为正态随机变量，而准则之间具有优先级别的随机多准则群决策问题进行了研究。首先，定义了一种集结正态分布数的优先加权平均（NDNPWA）算子，并给出了该算子的相关性质；进一步，基于NDNPWA算子和正态分布数加权算术平均（NDNWAA）算子，提出了一种准则值为正态随机变量，准则之间具有优先级别，而决策者之间不具有优先级别的随机多准则群决策方法。最后，通过实例分析表明，该方法具有可行性和有效性。
對準則值為正態隨機變量，而準則之間具有優先級彆的隨機多準則群決策問題進行瞭研究。首先，定義瞭一種集結正態分佈數的優先加權平均（NDNPWA）算子，併給齣瞭該算子的相關性質；進一步，基于NDNPWA算子和正態分佈數加權算術平均（NDNWAA）算子，提齣瞭一種準則值為正態隨機變量，準則之間具有優先級彆，而決策者之間不具有優先級彆的隨機多準則群決策方法。最後，通過實例分析錶明，該方法具有可行性和有效性。
대준칙치위정태수궤변량，이준칙지간구유우선급별적수궤다준칙군결책문제진행료연구。수선，정의료일충집결정태분포수적우선가권평균（NDNPWA）산자，병급출료해산자적상관성질；진일보，기우NDNPWA산자화정태분포수가권산술평균（NDNWAA）산자，제출료일충준칙치위정태수궤변량，준칙지간구유우선급별，이결책자지간불구유우선급별적수궤다준칙군결책방법。최후，통과실례분석표명，해방법구유가행성화유효성。
Investigates stochastic multi-criteria group decision making problems in which the criterion values are normal random variables and the criteria are in different priority levels. First, defines a new aggregation operator named normal distribution number prioritized weighted averaging (NDNPWA) operator and provides the relative properties of the operator. Furthermore, based on the NDNPWA operator and the normal distribution number weighted arithmetic averaging (NDNWAA) operator, proposes an approach for solving the stochastic multi-criteria group decision making problems in which the criterion values are normal random variables, the criteria are in different priority levels and the decision makers are not in different priority levels. Finally, presents an illustrative example to demonstrate the feasibility and effectiveness of the developed method.
